4753040 has 80 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 1737216.

The previous prime is 4753037. The next prime is 4753051. The reversal of 4753040 is 403574.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4753040³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4752997 and 4753015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80531 + ... + 80589.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 2^4753040 is an apocalyptic number.

4753040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

4753040 is an abundant number, since it is smaller than the sum of its proper divisors (7299760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4753040 is a wasteful number, since it uses less digits than its factorization.

4753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 4753040 is about 2180.1467840492. The cubic root of 4753040 is about 168.1346237633.

The spelling of 4753040 in words is "four million, seven hundred fifty-three thousand, forty".